The trend firmed up in Asia after US Fed minutes showed that Fed would take care in tightening rates after a likely lift-off in December.
Trading sentiment improved after the government yesterday announced a 3 per cent interest subsidy scheme for exporters running for 5 years, brokers said.
The US Federal Reserve meeting minutes sent strong signals of a rate increase in December, a vote of confidence in the health of the world's largest economy and a boon for the banking sector.
The 30-share Sensex opened firm at 25,640.34 and ended higher by 359.40 points, or 1.41 per cent, at 25,841.92, its biggest single-day gain since October 5. The gauge had lost 381.95 points in the previous session.
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Except the healthcare index, all sectoral indices led by consumer durables and IT ended in the positive zone with gains up to 1.93 per cent.
The broad-based NSE Nifty reclaimed the 7,800-level to hit a high of 7,854.90 before settling at 7,842.75, up 110.95 points, or 1.43 per cent.
Meanwhile, foreign portfolio investors (FPIs) sold shares worth a net Rs 768.46 crore yesterday, as per provisional data.